CN106482640B - Device and method for correcting optical axis of integrated machine core - Google Patents

Device and method for correcting optical axis of integrated machine core Download PDF

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CN106482640B
CN106482640B CN201611114886.8A CN201611114886A CN106482640B CN 106482640 B CN106482640 B CN 106482640B CN 201611114886 A CN201611114886 A CN 201611114886A CN 106482640 B CN106482640 B CN 106482640B
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optical axis
lens group
coordinate
delta
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CN106482640A (en
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郜向阳
宋爱萍
丘江
邓涛
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Beijing Hanbang Hi Tech Digital Technology Co ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/002Measuring arrangements characterised by the use of optical techniques for measuring two or more coordinates
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01BMEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B11/00Measuring arrangements characterised by the use of optical techniques
    • G01B11/26Measuring arrangements characterised by the use of optical techniques for measuring angles or tapers; for testing the alignment of axes
    • G01B11/27Measuring arrangements characterised by the use of optical techniques for measuring angles or tapers; for testing the alignment of axes for testing the alignment of axes

Abstract

The device for correcting the optical axis of the integrated machine core comprises an image acquisition module, an image processing module and an imaging control module (107); the image acquisition module includes: a zoom lens group (102), a focusing lens group (103) and an image sensor (104); an object (101) passes through the zoom lens group (102) and the focusing lens group (103) and then is imaged on an image sensor (104); the imaging control module (107) includes: a first motor (105), a second motor (106), wherein the first motor (105) drives the zoom lens group (102) to move along the optical axis, the second motor (106) drives the focusing lens group (103) to move along the optical axis, thereby obtaining a TELE end reference point IMAGE according to an optical axis correction special CHART diagram T WIDE end reference point IMAGE IMAGE W (ii) a An IMAGE processing module configured to IMAGE a TELE end reference IMAGE T And WIDE end reference IMAGE IMAGE W And processing is carried out, the coordinates of the reference characteristic points in the two reference images are obtained, and the optical axis offset coordinates (delta x, delta y) of the integrated movement are calculated. A correction method is also included.

Description

Device and method for correcting optical axis of integrated machine core
Technical Field
The invention relates to the field of integrated movement imaging, in particular to a device and a method for correcting an optical axis applied to an integrated movement, which can be used for correcting the optical axis offset of the integrated movement.
Technical Field
With the rapid development of digital image processing technology, image compression coding technology, network communication technology and data storage technology, image sensors with high integration level are widely applied in the field of image video, the transmission and storage of high-definition images become possible, the demand of people on remote and long-time event monitoring and recording application is gradually increased, and the application of network cameras, in particular to an integrated movement with high integration level, which can perform optical zoom in a wide-angle to tele-view mode, is unprecedented. In recent years, an integrated high-definition monitoring camera with a large zoom lens and taking an integrated machine core as a core is widely applied to the fields of intelligent transportation, safe cities, safe campuses and the like.
Due to manufacturing precision influence and optical characteristic difference, the integral movement is zoomed from the WIDE end to the TELE end or from the TELE end to the WIDE end, the actual scene position of the target corresponding to the image center position seen at the WIDE end and the actual scene position of the target corresponding to the image center position seen at the TELE end always have deviation, and the deviation is called integral movement optical axis deviation.
Disclosure of Invention
The present invention is directed to overcome the drawbacks of the prior art, and provides an optical axis correction device and method applied to a unified movement, which can accurately correct the optical axis deviation of the unified movement from the TELE end (telephoto end) to the WIDE end (WIDE-angle end).
The technical scheme for solving the problems is as follows: the device for correcting the optical axis of the integrated machine core comprises an image acquisition module, an image processing module and an imaging control module 107;
the image acquisition module includes: a zoom lens group 102, a focusing lens group 103, and an image sensor 104; an object 101 passes through a zoom lens group 102 and a focusing lens group 103 and then is imaged on an image sensor 104;
the imaging control module 107 includes: a first motor 105 and a second motor 106, wherein the first motor 105 drives the zoom lens group 102 to move along the optical axis, and the second motor 106 drives the focusing lens group 103 to move along the optical axis, so as to obtain a TELE end reference point IMAGE according to an optical axis correction special CHART diagram T WIDE end reference point IMAGE IMAGE W
An IMAGE processing module configured to IMAGE a TELE end reference IMAGE T And WIDE end reference IMAGE IMAGE W Processing is carried out, the coordinates of the reference characteristic points in the two reference images are obtained, and the optical axis offset coordinates (delta x, delta) of the integrated machine core are calculated y )。
The correction method of the device for correcting the optical axis of the integrated movement comprises the following steps:
(1) an optical axis correction environment of the integrated movement is built, and an optical axis correction is arranged at a position which is at a distance D from the camera lens of the integrated movement and is perpendicular to the optical axis of the camera lens of the integrated movementThe positive special CHART graph and the optical axis correction special CHART graph comprise two characteristic points P a And P b
(2) Acquiring a TELE end reference image, controlling a zooming group motor 105 to drive the zooming lens group 102 to a first position to fix the zooming lens group, and marking the coordinate position of the zooming lens group at the moment as z T (ii) a Controlling a focusing lens group 106 to drive the focusing lens group 103 to a position with highest image definition to fix the focusing lens group, wherein the coordinate position of the focusing lens group at the moment is marked as F T And captures the IMAGE in the IMAGE sensor 104 at this time T
(3) Acquiring a WIDE end reference image, and controlling a zoom group motor 105 to drive the zoom lens group 102 to a second position to fix the zoom lens group; marking the coordinate position of the zoom lens group 102 at this time as z W Controlling the focusing lens set 106 to drive the focusing lens set 103 to the position with the highest image definition to fix the focusing lens set, wherein the coordinate position of the focusing lens set at the moment is marked as F W And captures the IMAGE in the IMAGE sensor 104 at this time W
(4) Obtaining reference point coordinates, and obtaining an obtained TELE end reference IMAGE IMAGE T And WIDE end reference IMAGE IMAGE W Processing is carried out, and coordinates of the reference characteristic points in the two reference images are obtained;
(5) and calculating the optical axis center offset coordinate, and calculating to obtain the optical axis offset coordinate (delta x, delta y) of the integrated machine core according to the obtained coordinate of the reference characteristic point.
The device and the method have the advantages of simple and easy operation of environment setting, small calculated amount and robustness, and can automatically finish the correction of the optical axis deviation of the integrated movement, thereby greatly improving the speed and efficiency of optical axis correction.
Drawings
In order to more clearly illustrate the technical solutions in the examples of the present application or in the prior art, the drawings required for the description of the examples of the present application are briefly introduced below.
FIG. 1 is a schematic view of the internal structure of an integrated movement;
FIG. 2 is a schematic view of an optical axis correction environment of the integrated movement;
FIG. 3 is a schematic diagram of a CHART diagram dedicated to optical axis correction;
FIG. 4 is a schematic flow chart of the method of the present invention.
Detailed Description
As shown in fig. 1, the device for correcting the optical axis of the integral movement comprises: an image acquisition module, an image processing module and an imaging control module 107;
the image acquisition module includes: a zoom lens group 102, a focusing lens group 103, and an image sensor 104; an object 101 is imaged on an image sensor 104 after passing through a zoom lens group 102 and a focusing lens group 103;
the imaging control module 107 includes: a first motor 105 and a second motor 106, wherein the first motor 105 drives the zoom lens group 102 to move along the optical axis, and the second motor 106 drives the focusing lens group 103 to move along the optical axis, so as to obtain a TELE end reference point IMAGE according to an optical axis correction special CHART diagram T WIDE end reference point IMAGE IMAGE W
An IMAGE processing module configured to IMAGE a TELE end reference IMAGE T And WIDE end reference IMAGE IMAGE W And processing is carried out, the coordinates of the reference characteristic points in the two reference images are obtained, and the optical axis offset coordinates (delta x, delta y) of the integrated movement are calculated.
The device and the method realize the optical axis correction on the integrated movement by TELE end reference point image acquisition, WIDE end reference point image acquisition, reference point coordinate acquisition and optical axis center offset coordinate calculation, thereby solving the problem of optical axis deviation existing on the integrated movement at present.
Preferably, as shown in fig. 2, the optical axis correction dedicated CHART is arranged perpendicular to the optical axis of the integral movement camera at a distance D from the integral movement camera lens, and includes two feature points P a And P b ;P a And P b Is a black solid disc with a diameter of 1/m of the length of the CHART CHART special for optical axis correction, assuming that the center coordinates of the CHART CHART special for optical axis correction are (0,0), P a In the first quadrant, P b In the third quadrant. Special CHART graph for optical axis correction is used for building correction environment。
As shown in fig. 4, there is also provided a method for correcting an optical axis of an integrated movement, which includes the following steps:
(1) an optical axis correction environment of the integrated movement is built, a CHART graph special for optical axis correction is arranged at a position which is at a distance D from a camera lens of the integrated movement and is perpendicular to the optical axis of the camera lens of the integrated movement, and the CHART graph special for optical axis correction comprises two characteristic points P a And P b
(2) Acquiring a TELE end reference image, controlling a zooming group motor 105 to drive the zooming lens group 102 to a first position to fix the zooming lens group, and marking the coordinate position of the zooming lens group at the moment as z T (ii) a Controlling a focusing lens set 106 to drive the focusing lens set 103 to a position with highest image definition to fix the focusing lens set, wherein the coordinate position of the focusing lens set at the moment is marked as F T And captures the IMAGE in the IMAGE sensor 104 at this time T
(3) Acquiring a WIDE-end reference image, and controlling a zoom lens group motor 105 to drive the zoom lens group 102 to a second position to fix the zoom lens group; marking the coordinate position of the zoom lens group 102 at this time as z W Controlling the focusing lens set 106 to drive the focusing lens set 103 to a position with highest image definition to fix the focusing lens set, wherein the coordinate position of the focusing lens set at the moment is marked as F W And captures the IMAGE in the IMAGE sensor 104 at this time W
(4) Obtaining reference point coordinates, and obtaining an obtained TELE end reference IMAGE IMAGE T And WIDE end reference IMAGE IMAGE W Processing is carried out, and coordinates of the reference characteristic points in the two reference images are obtained;
(5) and (4) calculating the optical axis center offset coordinate, and calculating to obtain the optical axis offset coordinate (delta x, delta y) of the integrated movement according to the obtained coordinate of the reference characteristic point.
In addition, the method for determining the distance D between the lens and the camera is that the focal length of the integrated movement is adjusted to a TELE end, and the distance D is adjusted according to the image acquired by the integrated movement; center I of image acquired by integral machine core C Center C of CHART special for optical axis correction C Coincide while satisfying the twoA characteristic point P a And P b The image is completely in the image acquired by the all-in-one machine core and is as large as possible;
in addition, in the step (2), the first position is a coordinate position where the control motor 105 corresponding to the zoom lens group 102 is located when the focal length of the lens of the integral movement is maximum, and the coordinate position is a TELE end of the integral movement;
in addition, in the step (3), the second position is a coordinate position where the control motor 105 corresponding to the zoom lens group 102 is located when the focal length of the lens of the integral movement is minimum, and the coordinate position is a WIDE end of the integral movement;
in the step (4), the image graying processing, the image binarization processing and the image morphology processing are sequentially performed on the acquired image data, the feature points are found in the processed image, the location of the feature points is completed, and the central coordinates of the feature points in the image are calculated;
IMAGE obtained at TELE end of integrated machine core T The obtained feature point P a Center C of 0 The coordinate is (x) 0 ,y 0 ) (ii) a The obtained feature point P b Center C of 1 The coordinate is (x) 1 ,y 1 );
IMAGE obtained at WIDE end of integrated movement W The obtained feature point P a Center C of 2 The coordinate is (x) 2 ,y 2 ) (ii) a The obtained feature point P b Center C of 3 The coordinate is (x) 3 ,y 3 );
In the step (5), the passage C is calculated 0 And C 2 Two characteristic parameter slopes k of the straight line of (1) 1 And y-axis offset b 1 Calculating the pass C 1 And C 3 Two characteristic parameter slopes k of the straight line of (1) 2 And Y-axis offset b 2 According to k 1 、b 1 、k 2 、b 2 Obtaining the deviation delta X in the X-axis direction and the deviation delta Y in the Y-axis direction;
in addition, the pass C is calculated according to the formula (1) 0 And C 2 Two characteristic parameter slopes of the straight line of (1)k 1 And Y-axis offset b 1
Figure GDA0003665440420000061
Calculating the pass C according to the formula (2) 1 And C 3 Two characteristic parameter slopes k of the straight line 2 And Y-axis offset b 2
Figure GDA0003665440420000062
According to equation (3), according to the slope k 1 、b 1 、k 2 、b 2 The offset deltax in the X-axis direction is derived,
Figure GDA0003665440420000063
according to equation (4), from the slope k 1 、b 1 、k 2 、b 2 The shift deltay in the Y-axis direction is derived,
Figure GDA0003665440420000064
thereby, the deviation coordinate of the optical axis center of the integral movement from the TELE end to the WIDE end is obtained as (delta x, delta y).
In order to make the technical solution of the present invention better understood, the following provides a further description of the technical solution of the embodiment of the present invention with reference to the accompanying drawings.
And (3) constructing and configuring a correction environment, arranging a CHART image special for optical axis correction perpendicular to the optical axis of the camera at a position which is at a distance D from the camera, and enabling the CHART 2 to be a simplified diagram of the optical axis correction environment of the integrated movement.
In the present embodiment, a CHART dedicated to optical axis correction as shown in fig. 3 is used. The CHART graph special for optical axis correction comprises two characteristic points P a And P b . Assuming that the central coordinates of the CHART dedicated to optical axis correction are (0,0),P a in the first quadrant, P b Located in the third quadrant. P is a And P b The diameter of the black solid disc is 1/m of the length of the Chart CHART special for optical axis correction. In this embodiment, m is 6.
In the environment of optical axis correction of the integral movement shown in fig. 2, the distance between the lens of the integral movement and the CHART dedicated for optical axis correction is D. D is selected according to the actual focal length of the integrated movement at the telescopic end (TELE), and the selection standard is that the focal length of the integrated movement is adjusted to the TELE end, and the center I of the image acquired by the integrated movement C Center C of CHART special for optical axis correction C Coincidence, which simultaneously satisfies the two characteristic points P a And P b Entirely in the images acquired by the integrator core and as large as possible. In this example, the focal length of the integral cartridge at the TELE end is 152mm, and the distance D is chosen to be 3.5 m.
Obtaining the coordinate value of the feature point, comprising the following steps:
and moving the zoom lens group 102 to a first position, where the first position is a coordinate position of a control motor corresponding to the zoom lens group when the focal length of the lens is maximum, that is, a TELE end of the integrated movement. Marking the zoom lens group at this time with a coordinate position z T . In this example, the focal length of the lens of the integral movement is 152 mm. Moving the focusing lens group 103 to the position where the image clarity is the highest, and marking the coordinate position of the focusing lens group at this time is F T . IMAGE obtained by grabbing integrated machine core at the moment T
And moving the zoom lens group 102 to a second position, where the second position is a coordinate position where a control motor corresponding to the zoom lens group is located when the focal length of the lens is minimum, that is, a WIDE end of the integrated movement. Marking the coordinate position of the zoom lens group at this time as z W . In this example, the focal length of the lens of the integral movement is 4.6 mm. Moving the focusing lens group 103 to the position where the image clarity is the highest, and marking the coordinate position of the focusing lens group at this time is F W . IMAGE obtained by grabbing integral machine core at the moment W
Fig. 4 is a schematic view of the working process of the present invention.
Upon acquisition of IMAGE T And IMAGE W Then, the acquired image is processed, and the coordinate value of the offset point is calculated, wherein the method comprises the following two main modules:
a reference point coordinate acquisition module and an optical axis center offset coordinate calculation module.
The reference point coordinate acquisition module performs image graying processing, image binarization processing and image morphology processing on the acquired image data to complete the position positioning of the feature points and calculate the center coordinates of the feature points.
IMAGE obtained at TELE end of integrated machine core T In the method, the characteristic point P acquired by the reference point coordinate acquisition module a Center point C of 0 The coordinates are (x) 0 ,y 0 ) (ii) a Obtaining a feature point P b Center C of 1 The coordinate is (x) 1 ,y 1 )。
IMAGE obtained at WIDE end of integrated movement W In the method, the characteristic point P acquired by the reference point coordinate conversion module a Center C of 2 The coordinate is (x) 2 ,y 2 ) Obtaining the feature point P b Center C of 3 The coordinate is (x) 3 ,y 3 )。
Calculate the pass C 0 And C 2 Two characteristic parameter slopes k of the straight line of (1) 1 And Y-axis offset b 1 The following formula is shown below.
Figure GDA0003665440420000081
Calculate the pass C 1 And C 3 Two characteristic parameter slopes k of the straight line 2 And Y-axis offset b 2 The following formula is shown below.
Figure GDA0003665440420000082
According to the slope k 1 、b 1 、k 2 、b 2 Deriving the offset Delta in the X-axis directionx is represented by the following formula.
Figure GDA0003665440420000083
According to the slope k 1 、b 1 、k 2 、b 2 The shift Δ Y in the Y-axis direction is obtained as shown in the following equation.
Figure GDA0003665440420000084
The deviation coordinate of the optical axis center of the integral movement from the TELE end to the WIDE end is obtained as (delta x, delta y).
The above description is only for the preferred embodiment of the present invention, and is not intended to limit the present invention in any way. It should be understood by those skilled in the art that any simple modification, equivalent change and modification made to the above embodiments according to the technical spirit of the present invention still fall within the protection scope of the technical solution of the present invention.

Claims (3)

1. The utility model provides a device that integrative core optical axis was rectified which characterized in that: the system comprises an image acquisition module, an image processing module and an imaging control module (107);
the image acquisition module includes: a zoom lens group (102), a focusing lens group (103), and an image sensor (104); an object (101) passes through the zoom lens group (102) and the focusing lens group (103) and then is imaged on an image sensor (104);
the imaging control module (107) includes: a first motor (105) and a second motor (106), wherein the first motor (105) drives the zoom lens group (102) to move along the optical axis, and the second motor (106) drives the focusing lens group (103) to move along the optical axis, so that a TELE end reference point IMAGE is obtained according to an optical axis correction special CHART diagram T WIDE end reference point IMAGE IMAGE W
An IMAGE processing module configured to IMAGE a TELE end reference IMAGE T And WIDE end reference IMAGE IMAGE W Processing is carried out to obtain the coordinates of the reference characteristic points in the two reference images,calculating to obtain the optical axis offset coordinates (delta x, delta y) of the integrated movement;
the IMAGE of TELE end reference IMAGE T And WIDE end reference IMAGE IMAGE W Processing is carried out, coordinates of the reference characteristic points in the two reference images are obtained, and integrated movement optical axis offset coordinates (delta x, delta y) are obtained through calculation, wherein the processing comprises the following steps: IMAGE obtained at TELE end of integrated machine core T The obtained feature point P a Center C of 0 The coordinates are (x) 0 ,y 0 ) (ii) a Obtaining a feature point P b Center C of 1 The coordinate is (x) 1 ,y 1 ) (ii) a IMAGE obtained at WIDE end of integrated movement W The obtained feature point P a Center C of 2 The coordinate is (x) 2 ,y 2 ) (ii) a Obtaining a feature point P b Center C of 3 The coordinate is (x) 3 ,y 3 ) (ii) a Calculate the pass C 0 And C 2 Two characteristic parameter slopes k of the straight line of (1) 1 And Y-axis offset b 1 Calculating a pass C 1 And C 3 Two characteristic parameter slopes k of the straight line of (1) 2 And Y-axis offset b 2 According to k 1 、b 1 、k 2 、b 2 Obtaining the deviation delta X in the X-axis direction and the deviation delta Y in the Y-axis direction; calculating the pass C according to the formula (1) 0 And C 2 Two characteristic parameter slopes k of the straight line of (1) 1 And Y-axis offset b 1
Figure FDA0003665440410000021
Calculating the pass C according to the formula (2) 1 And C 3 Two characteristic parameter slopes k of the straight line of (1) 2 And Y-axis offset b 2
Figure FDA0003665440410000022
According to formula (3), according to k 1 、b 1 、k 2 、b 2 To obtain the X axisThe shift in direction deltax is such that,
Figure FDA0003665440410000023
according to equation (4), according to k 1 、b 1 、k 2 、b 2 The shift deltay in the Y-axis direction is derived,
Figure FDA0003665440410000024
and the deviation coordinates of the optical axis center of the integrated movement from the TELE end to the WIDE end are obtained as (delta x, delta y).
2. The apparatus for correcting an optical axis of an integral movement according to claim 1, further comprising: the special CHART graph for optical axis correction is arranged perpendicular to the optical axis of the lens of the integrated movement at a position with a distance D from the lens of the camera of the integrated movement, and comprises two characteristic points P a And P b ;P a And P b Is a black solid disc, the diameter of the disc is 1/m of the length of the CHART CHART special for optical axis correction, m is 6, and the central coordinate of the CHART CHART special for optical axis correction is (0,0), P is assumed a In the first quadrant, P b Located in the third quadrant.
3. A correction method of the device for correcting the optical axis of the integral movement according to claim 1, characterized in that: the method comprises the following steps:
(1) an optical axis correction environment of the integrated movement is built, a CHART graph special for optical axis correction is arranged at a position which is at a distance D from a camera lens of the integrated movement and is perpendicular to the optical axis of the camera lens of the integrated movement, and the CHART graph special for optical axis correction comprises two characteristic points P a And P b
(2) Acquiring a TELE end reference image, controlling a first motor (105) to drive the zoom lens group (102) to a first position to fix the zoom lens group, and marking the coordinate position of the zoom lens group at the moment as Z T (ii) a Controlling the second electricityThe machine (106) drives the focusing lens group (103) to a position for enabling the image definition to be highest, and fixes the focusing lens group, and the coordinate position of the focusing lens group at the moment is marked as F T Capturing an IMAGE of the IMAGE sensor (104) at the time T
(3) A WIDE end reference image acquisition step of controlling a first motor (105) to drive the zoom lens group (102) to a second position to fix the zoom lens group; the coordinate position of the zoom lens group (102) at the moment is marked as Z W Controlling a second motor (106) to drive the focusing lens group (103) to a position with highest image definition to fix the focusing lens group, wherein the coordinate position of the focusing lens group at the moment is marked as F W Capturing an IMAGE of the IMAGE sensor (104) at the time W
(4) Obtaining reference point coordinates, and obtaining an obtained TELE end reference IMAGE IMAGE T And WIDE end reference IMAGE IMAGE W Processing is carried out, and coordinates of the reference characteristic points in the two reference images are obtained;
(5) calculating the optical axis center offset coordinate, and calculating to obtain the optical axis offset coordinate (delta x, delta y) of the integrated movement according to the obtained coordinate of the reference characteristic point; the method for determining the distance D of the CHART diagram special for correcting the lens and the optical axis comprises the steps of adjusting the focal length of the integrated movement to a TELE end, and adjusting the distance D according to an image acquired by the integrated movement; center I satisfying image acquired by integrated movement C Center C of CHART special for optical axis correction C Coincide while satisfying the two feature points P a And P b The image is completely in the image acquired by the all-in-one machine core and is as large as possible;
in the step (2), the first position is a coordinate position where the zoom lens group (102) is located when the focal length of the lens of the integrated movement is maximum, and the coordinate position is a TELE end of the integrated movement;
in the step (3), the second position is a coordinate position where the zoom lens group (102) is located when the focal length of the lens of the integrated movement is minimum, and the coordinate position is a WIDE end of the integrated movement;
in the step (4), the obtained image data is sequentially subjected to image graying processing, image binarization processing and image morphology processing, feature points are found in the processed image, the location of the feature points is completed, and the central coordinates of the feature points in the image are calculated;
IMAGE obtained at TELE end of integrated machine core T In (2), the obtained feature point P a Center C of 0 The coordinate is (x) 0 ,y 0 ) (ii) a Obtaining a feature point P b Center C of 1 The coordinate is (x) 1 ,y 1 );
IMAGE obtained at WIDE end of integrated movement W The obtained feature point P a Center C of 2 The coordinate is (x) 2 ,y 2 ) (ii) a Obtaining a feature point P b Center C of 3 The coordinate is (x) 3 ,y 3 );
In the step (5), the pass C is calculated 0 And C 2 Two characteristic parameter slopes k of the straight line 1 And Y-axis offset b 1 Calculating a pass C 1 And C 3 Two characteristic parameter slopes k of the straight line of (1) 2 And Y-axis offset b 2 According to k 1 、b 1 、k 2 、b 2 Obtaining the deviation delta X in the X-axis direction and the deviation delta Y in the Y-axis direction; calculating the pass C according to the formula (1) 0 And C 2 Two characteristic parameter slopes k of the straight line 1 And Y-axis offset b 1
Figure FDA0003665440410000041
Calculating the pass C according to the formula (2) 1 And C 3 Two characteristic parameter slopes k of the straight line 2 And Y-axis offset b 2
Figure FDA0003665440410000042
According to formula (3), according to k 1 、b 1 、k 2 、b 2 The offset deltax in the X-axis direction is derived,
Figure FDA0003665440410000043
according to equation (4), according to k 1 、b 1 、k 2 、b 2 The shift deltay in the Y-axis direction is derived,
Figure FDA0003665440410000044
thereby, the deviation coordinate of the optical axis center of the integral movement from the TELE end to the WIDE end is obtained as (delta x, delta y).
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